34354400520 has 128 divisors (see below), whose sum is σ = 113787555840. Its totient is φ = 8227971840.

The previous prime is 34354400503. The next prime is 34354400533. The reversal of 34354400520 is 2500445343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47224 + ... + 266343.

It is an arithmetic number, because the mean of its divisors is an integer number (888965280).

Almost surely, 2^34354400520 is an apocalyptic number.

34354400520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34354400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56893777920).

34354400520 is an abundant number, since it is smaller than the sum of its proper divisors (79433155320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34354400520 is a wasteful number, since it uses less digits than its factorization.

34354400520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313675 (or 313671 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 34354400520 its reverse (2500445343), we get a palindrome (36854845863).

The spelling of 34354400520 in words is "thirty-four billion, three hundred fifty-four million, four hundred thousand, five hundred twenty".